Softcover ISBN:  9780821840726 
Product Code:  HMATH/29 
132 pp 
List Price:  $34.00 
MAA Member Price:  $30.60 
AMS Member Price:  $27.20 
Electronic ISBN:  9781470418090 
Product Code:  HMATH/29.E 
132 pp 
List Price:  $32.00 
MAA Member Price:  $28.80 
AMS Member Price:  $25.60 

Book DetailsHistory of MathematicsHistory of Mathematics Source SeriesVolume: 29; 2006MSC: Primary 01;
The book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest.
The Phaenomena itself begins with an introduction (possibly not by Euclid) followed by eighteen propositions set out in geometrical style about how arcs of the zodiacal circle move across the sky. The astronomical application is to the small arc of that circle occupied by the Sun, but the Sun is not mentioned. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.
This volume is one of an informal sequence of works within the History of Mathematics series. Volumes in this subset, “Sources”, are classical mathematical works that served as cornerstones for modern mathematical thought.ReadershipUndergraduates, graduate students, and research mathematicians interested in the history of mathematics and astronomical applications of geometry.

Table of Contents

Chapters

Introduction

Euclid’s presuppositions

Notes on the translation

Sigla

Euclid’s Phaenomena translated with commentary

Euclid’s Phaenomena


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The book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest.
The Phaenomena itself begins with an introduction (possibly not by Euclid) followed by eighteen propositions set out in geometrical style about how arcs of the zodiacal circle move across the sky. The astronomical application is to the small arc of that circle occupied by the Sun, but the Sun is not mentioned. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.
This volume is one of an informal sequence of works within the History of Mathematics series. Volumes in this subset, “Sources”, are classical mathematical works that served as cornerstones for modern mathematical thought.
Undergraduates, graduate students, and research mathematicians interested in the history of mathematics and astronomical applications of geometry.

Chapters

Introduction

Euclid’s presuppositions

Notes on the translation

Sigla

Euclid’s Phaenomena translated with commentary

Euclid’s Phaenomena